Register
Filter

Most viewed questions

0 votes
0 answers
122
GATE2012-27
Given that $A=\begin{bmatrix}-5 &-3\\2 &0\end{bmatrix}$ and $I=\begin{bmatrix}1 & 0\\0 &1\end{bmatrix}$, the value of $A^3$ is $15A+12I$ $19A+30I$ $17A+15I$ $17A+21I$
Given that$A=\begin{bmatrix}-5 &-3\\2 &0\end{bmatrix}$ and $I=\begin{bmatrix}1 & 0\\0 &1\end{bmatrix}$, the value of $A^3$ is$15A+12I$$19A+30I$$17A+15I$$17A+21I$
0 votes
0 answers
124
GATE2014-21
A loop transfer function is given by: $G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$ The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at _________
A loop transfer function is given by:$$G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$$The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at ...
1 votes
1 answer
127
GATE2020 IN: 21
Assume that the opamp in the circuit shown is ideal. The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
Assume that the opamp in the circuit shown is ideal.The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
0 votes
0 answers
131
GATE2018IN: 49
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R_4 = 10\; k\Omega$. The value of the inductance $L_x$ (in $\text{mH} $ is $\_\_\_\_\_\_$
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R...
0 votes
0 answers
133
GATE2016-24
The signal $m(t)=cos(\omega_mt)$ is $SSB$ (single side-band) modulated with a carrier $\cos(\omega_ct)$ to get $s(t)$. The signal obtained by passing $s(t)$ through an ideal envelope detector is $\cos(\omega_mt)$ $\sin(\omega_mt)$ $\cos(\omega_mt)+\sin(\omega_mt)$ 1
The signal $m(t)=cos(\omega_mt)$ is $SSB$ (single side-band) modulated with a carrier $\cos(\omega_ct)$ to get $s(t)$. The signal obtained by passing $s(t)$ through an id...
0 votes
0 answers
134
GATE2018IN:36
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements of (-1,0) in the Nyquist plot of the Loop transfer-function G(s)H(s) is $\_\_\_\_\_$
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements...
1 votes
0 answers
135
GATE IN 2023 | GA Question: 9
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function? $f(x)=|| x+2|-| x-1||$ $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function?$$f(x)=|| x+2|-| x-1||$$ $\text{P}$$\text{Q}$$\text{R}$$\te...
0 votes
0 answers
136
GATE IN 2023 | Question: 16
The opamp in the circuit shown is ideal, except that it has an input bias current of $1 ~ \mathrm{nA}$ and an input offset voltage of $10 ~ \mu \mathrm{V}$. The resulting worst-case output voltage will be $\pm$______________$\mu \mathrm{V}$ (rounded off to the nearest integer).
The opamp in the circuit shown is ideal, except that it has an input bias current of $1 ~ \mathrm{nA}$ and an input offset voltage of $10 ~ \mu \mathrm{V}$. The resulting...
0 votes
0 answers
137
GATE IN 2022 | Question: 22
A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ____________ (round off to two decimal places)
A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are re...
0 votes
0 answers
140
GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...
0 votes
0 answers
144
GATE2018IN:19
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is 8 128 255 256
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is8128255256
0 votes
0 answers
145
GATE2018IN: 18
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is 11011.110 11101.101 11011.101 10111.110
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is11011.11011101.10111011.10110111.110
0 votes
0 answers
146
GATE IN 2022 | Question: 16
Consider $24$ voice signals being transmitted without latency using time-division multiplexing. If each signal is sampled at $12 \; \text{kHz}$ and represented by an $8$-bit word, the bit-duration (in microseconds) is __________ (round off to two decimal places)
Consider $24$ voice signals being transmitted without latency using time-division multiplexing. If each signal is sampled at $12 \; \text{kHz}$ and represented by an $8$-...
0 votes
0 answers
148
GATE2019 IN: 4
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the ratio of the root mean-square (RMS) voltage across the resistor R in Figure (a) to that in figure (b) is $\sqrt{2}$: 1 2: 1 2$\sqrt{2}$ : 1 4:1
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...
0 votes
0 answers
149
GATE2014-40
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
0 votes
0 answers
150
GATE2018IN: 53
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits per second) is ____________.
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits pe...
0 votes
0 answers
152
GATE2018IN:30
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in A) when both sources are applied will be (up to two decimal places)$\_\_\_\_\_$.
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in...
0 votes
0 answers
154
GATE IN 2022 | Question: 4
The output of a system $y(t)$ is related to its input $x(t)$ according to the relation $y(t) = x(t) \sin (2 \pi t).$ This system is __________ Linear and time-variant Non-linear and time-invariant Linear and time-invariant Non-linear and time-variant
The output of a system $y(t)$ is related to its input $x(t)$ according to the relation $y(t) = x(t) \sin (2 \pi t).$ This system is __________Linear and time-variantNon-l...
0 votes
0 answers
155
GATE IN 2022 | GA Question: 8
Consider the following inequalities. $3p \:– q < 4$ $3q \:– p < 12$ Which one of the following expressions below satisfies the above two inequalities? $p + q < 8$ $p + q = 8$ $8 \leq p + q < 16$ $p + q \geq 16$
Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + q =...
0 votes
0 answers
156
GATE IN 2021 | Question: 45
A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $G\left ( s \right )=\dfrac{1}{s+1}$. The amplitude of the steady state output is __________.
A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $...
0 votes
0 answers
157
GATE2020 IN: 31
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
0 votes
0 answers
160
GATE2019 IN: 41
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse duration, in watts, is 1 10 100 1000
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse dur...
Page: